厚壁圆筒热应力问题的传递函数方法

Transfer function method for analyzing thermal stress in thick cylindrical shells

采用传递函数方法研究了厚壁圆筒的热应力问题。首先建立了厚壁圆筒的热弹性基本微分方程,然后运用传递函数方法求解了温度场作用下厚壁圆筒的位移与热应力,并给出其封闭形式解。数值算例表明计算结果与有限元方法的计算结果一致。该文方法还可应用于复合材料层合厚壁圆筒结构的热应力分析。

The thermal stress analysis of thick cylindrical shells is investigated using the transfer function method. The basic thermoelastic differential equations of thick cylindrical shells are established firstly, then the displacement and thermal stress in thick cylindrical shells under temperature field are analyzed using the transfer function method, and finally the close-form solution is provided. The results obtained by the transfer function method are found to be perfect by comparing with the finite element method. The proposed method can be applied to analyze the thermal stress in thick cylindrical shells with composite material.